GCF of 6674/276, 5256/1564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6674/276, 5256/1564 i.e 2/4692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6674/276, 5256/1564.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6674/276,5256/1564?
Given fractions are 6674/276,5256/1564
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6674/276,5256/1564, numerators are 6674,5256
Denominators are 276,1564
The GCF of 6674,5256 is 2 .
LCM of 276,1564 is 4692.
The greatest common factor of 6674/276,5256/1564 = [GCF of 6674,5256]/[LCM of 276,1564]= 2/4692
Therefore, the GCF of 6674/276,5256/1564 is 2/4692.
To find the highest common factor of 6674,5256, we have to find the factors of both numbers and list the highest common factor.
The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674
The factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256
The HCF of 6674,5256 is 2.
Lets's calculate GCF of 6674,5256
| 2 | 6674, 5256 |
| 3337, 2628 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6674,5256 By Matching Biggest Common Factor Method
Now, list down the factors of 6674
:1,2,47,71,94,142,3337,6674
Now, list down the factors of 5256
:1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256
Greatest Common Factor
We found the factors 6674,5256 . The biggest common factor number is the GCF number.
So the greatest common factor 6674,5256 is 2.
Lets's calculate LCM of 276,1564
| 2 | 276, 1564 |
| 2 | 138, 782 |
| 23 | 69, 391 |
| 3, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 3 x 17 = 4692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4692
Therefore, the GCF of Fractions 6674/276,5256/1564 is 2/4692
Least Common Multiple of 276,1564 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 276,1564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,1564) = 92
common factors(in case of two or more numbers have common factors) = 1
GCF(276,1564) x common factors =92 x 1 = 92
LCM(276,1564) = ( 276 × 1564 ) / 92
LCM(276,1564) = 431664 / 92
LCM(276,1564) = 4692
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FAQs on GCF of Fractions of 6674/276, 5256/1564
1. What is the HCF of 6674,5256?
The HCF of 6674,5256 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6674/276, 5256/1564?
Answer: GCF of Numerators as per given numbers 6674/276, 5256/1564 is
GCF of Numerators i.e. for 6674,5256 is 2
LCM of denominators i.e. for 276,1564 is 4692.
Thus, GCF of Fractions is 2/4692.Finally, GCF of Fractions for 6674/276, 5256/1564 is 2/4692.